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| Shape analysis for truss structures with the nonlinear constraint of homologous deformation |
| Revised:July 01, 2005 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20075126 |
| KeyWord:nonlinear constraint conditions of homologous deformation,Moore-Penrose Generalized inverse,structural shape analysis |
| ZHAN Fu GUAN Fu-ling |
| Department of Civil Engineering,Zhejiang University,Hangzhou 310027,China |
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| Abstract: |
| This paper deals with the shape analysis for truss structures with the nonlinear constraint conditions of homologous deformation.The proposed structural shape analysis with the nonlinear constraint conditions of homologous deformation is presented,based on the structural shape analysis with the linear constraint conditions of homologous deformation.The nodal coordinates of structure can be divided into three groups: nodal coordinates under nonlinear constraint conditions of homologous deformation;free nodal coordinates and nodal coordinates under boundary constraint.Then the existence condition of solution for basic equation,which includes the proposed constraint conditions of nonlinear homologous deformation,is expressed as a set of nonlinear equations with variables of nodal coordinates under nonlinear constraint conditions of homologous deformation.The formulation is presented for the first order derivation of general matrix to its variables in oder to solve the nonlinear equation. After the solution of the nonlinear equations by Newton-Raphson method,the final shape is found out.The validity of the proposed method is verified by numerical examples concerned with elastic planar truss. |
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